Foucaud–Henning conjecture on location-domination in twin-free graphs

Let $G$ be a graph of order $n$ with no isolated vertices. A graph is twin-free if no two distinct vertices have the same open or closed neighborhood, and let $\gamma_L(G)$ be its location-domination number. Foucaud–Henning conjecture. Every twin-free graph $G$ of order $n$ without isolated vertices satisfies

$$\gamma_L(G)\le\frac{n}{2}.$$

This is proposed as a strengthening of the Garijo–González–Márquez conjecture and as an analogue of Ore’s one-half bound for the domination number; its status is open.